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		<H1>Table of Contents</H1>
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		<p class="toc_title">Contents</p>
		<ul class="toc_list">
		  <li><a href="#First_Point_Header">1 First Point Header</a>
		  <ul>
		    <li><a href="#First_Sub_Point_1">1.1 First Sub Point 1</a></li>
		    <li><a href="#First_Sub_Point_2">1.2 First Sub Point 2</a></li>
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		<li><a href="#Second_Point_Header">2 Second Point Header</a></li>
		<li><a href="#Third_Point_Header">3 Third Point Header</a></li>
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<p>
  When \(a \ne 0\), there are two solutions to \(ax^2 + bx + c = 0\) and they are
  $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.$$
</p>

<P>
	<strong>As there are three DOFs at one node</strong>
	, there is a total of 24 DOFs in a hexahedron element. It is again useful to
	 define a natural coordinate system (ξ,η,ζ) with its origin at the centre of
	 the transformed cube, as this makes it easier to construct the shape
	 functions and to evaluate the matrix integration.Like the quadrilateral
	 element, shape functions are also used to interpolate the coordinates from
	 the nodal coordinates:
</p>

<h1>Eight-node brick element (C3D8)</h1>
<P>
The C3D8 element is a general purpose linear brick element, fully integrated
(2x2x2 integration points). The shape functions can be found in [36]. The node
numbering follows the convention of Figure <a href="#hex8">hex8</a> and the integration points are
numbered according to Figure <a href="#hex8gp">hex8gp</a>. This latter information is important since
element variables printed with the *EL PRINT keyword are given in the
integration points.
<figure class='figure'>
	<img id="hex8" src="img/fem/img208.png" alt="This is the hex8 element." />
	<figcaption>8-node brick element.</figcaption>
</figure>

<figure class='figure'>
	<img id="hex8gp" src="img/fem/img209.png" alt="This is the hex8 element." />
	<figcaption>2x2x2 integration point scheme in hexahedral elements.</figcaption>
</figure>
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